Let me first of all declare that till a few months ago, Analysis was the subject I liked most, as I was pretty good at it and the idea was simple: you essentially bound things.
But then, I had these spurts of realizations: has Analysis nothing else to offer? Let's take a quick look at what analysis does.
Fourier analysis: Hell lot of PDE's, heat equations, etc. and hell lot of estimating things. The concept of generalized function I admit, is really nice, but that's essentially all to it. From the beginning to the end, estimate integrals or show certain functions belong to a class.
Complex analysis: This is a beautiful subject, although estimations crop up here as well, quite often. However, I do like things like Cauchy's Theorem, Morera's Theorem, etc. simply because they are NOT estimating things!
Functional analysis: Convergence on arbitrary spaces and some fairly complicated existential theorems. Due to lack of concrete integration, there is lack of estimating things but then, there's always the concept of showing convergence.
Analytic Number Theory: I got bored to death trying to study this. From the first page to the last (probably the book I chose wasn't friendly) I saw integrals being estimated.
I have no grievance towards analysis in particular, and as I have mentioned, I am actually good in it. I can grasp analysis concepts really well and my background is quite strong. However, after a point, you really begin to wonder whether a subject has anything else to offer other than estimating integrals/series and checking convergence. I, unfortunately, haven't been exposed to prospective fields of Analysis which go beyond these. So, at times, the journey has been immensely boring.
I would like to ask the community of mathematicians here: what is your opinion? I would love to know if there are topics in analysis beyond these estimations and computations, so if you know of them please do tell me.
Yes, something I missed is: why did I like analysis? Because it reduced a lot of computations I used to do as a high school student. Look at the Riemann-Lebesgue Lemma. Look at the power of Stone-Weierstrass. These are theorems that really boost my interest. But then, what about the rest?